One possibility is that Harry has been betrayed in some way by the Weasleys. Maybe he discovers they've been using him for their own gain, like getting access to his fame or fortune. So, in a fit of anger and disappointment, he throws them out.
In some cases, it could be that the magic system itself is the antagonist. For example, if there are ancient magical laws or curses that are affecting Harry's judgment and making him act against the Weasleys. The fanfic could then be about how they all fight against the constraints of this magic system to reconcile.
One possible reason could be a misunderstanding. Maybe Harry overheard something wrong about the Weasleys and in a fit of anger, threw them out. For example, if he thought they were plotting against him when in reality it was a big miscommunication.
Well, it could severely damage their relationship. The Weasleys, who have been like family to Harry, would be deeply hurt. They might not be as quick to forgive him, and it could create a rift that lasts for a long time.
Perhaps Harry sues the Weasleys because he believes they misused some of his fame for their own financial gain. For example, they might have used his name to promote their joke shop without his permission. And Harry, being fed up with this exploitation, decides to sue them to set things straight.
It could be that Harry throws the tournament as a way to promote unity among the wizarding community. He might include challenges that require teamwork, like a group spell - casting competition where participants have to combine their magic to achieve a certain goal. And he could also invite wizards from other schools to participate, not just Hogwarts students.
There could be a plot development where the Weasleys' discovery of Harry's abuse leads to a rift in the wizarding community. Some might not believe Harry was abused or might try to cover it up. The Weasleys would then have to fight against this disbelief and secrecy. They could also form alliances with other families or characters who believe Harry. In the meantime, Harry might start to develop new magical abilities as a result of the love and support he gets from the Weasleys. This could be a turning point in his growth as a wizard, as he learns to use his magic in a more positive and confident way.
Maybe in that fanfic, there are misunderstandings between Harry and the Weasleys. For example, they might have had an argument over something like magic use or family values that led Harry to dislike them.
Perhaps in this fanfic, the Weasleys have some actions that conflict with Harry and Hermione's values. For example, if the Weasleys were to make a deal with a dark wizard for the sake of their family's safety and Harry and Hermione found out. This could lead to a rift and hatred. Also, it could be related to a love triangle situation in a very convoluted way. Maybe one of the Weasleys unknowingly gets in the way of Harry and Hermione's relationship, or vice versa, which causes animosity.
Maybe in the fanfic, there was a huge misunderstanding. For example, perhaps the Weasleys were wrongly accused of something that endangered Harry's life or the lives of his loved ones. It could also be that there was some sort of dark magic at play that made Harry believe the Weasleys were his enemies.
One possible reason could be that Harry has post - war trauma. He might have seen so much death and destruction during the war that he doesn't want to bring his darkness and pain to the Weasleys. He may think that staying away is a way to protect them from his own emotional turmoil.